The Lattice C2 x S3 x PGL(2,11)(b)
An entry from the Catalogue of Lattices, which is a joint project of
Gabriele Nebe, RWTH Aachen University
(nebe@math.rwth-aachen.de)
and
Neil J. A. Sloane
(njasloane@gmail.com)
Last modified Fri Jul 18 13:23:04 CEST 2014
INDEX FILE |
ABBREVIATIONS
Contents of this file
NAME
DIMENSION
GRAM
DIVISORS
MINIMAL_NORM
KISSING_NUMBER
GROUP_ORDER
GROUP_NAME
GROUP_GENERATORS
LAST_LINE
-
NAME
C2 x S3 x PGL(2,11)(b)
-
DIMENSION
20
-
GRAM
20
12 6 -4 -2 0 0 0 0 4 2 4 2 -4 -2 -2
-1 -6 -3 -4 -2
6 12 -2 -4 0 0 0 0 2 4 2 4 -2 -4 -1
-2 -3 -6 -2 -4
-4 -2 12 6 -2 -1 0 0 -4 -2 4 2 -2 -1 6
3 4 2 -4 -2
-2 -4 6 12 -1 -2 0 0 -2 -4 2 4 -1 -2 3
6 2 4 -2 -4
0 0 -2 -1 12 6 -4 -2 -4 -2 2 1 4 2 2
1 -4 -2 4 2
0 0 -1 -2 6 12 -2 -4 -2 -4 1 2 2 4 1
2 -2 -4 2 4
0 0 0 0 -4 -2 12 6 -2 -1 0 0 -4 -2 -4
-2 -4 -2 2 1
0 0 0 0 -2 -4 6 12 -1 -2 0 0 -2 -4 -2
-4 -2 -4 1 2
4 2 -4 -2 -4 -2 -2 -1 12 6 -4 -2 0 0 0
0 0 0 0 0
2 4 -2 -4 -2 -4 -1 -2 6 12 -2 -4 0 0 0
0 0 0 0 0
4 2 4 2 2 1 0 0 -4 -2 12 6 0 0 4
2 -2 -1 -4 -2
2 4 2 4 1 2 0 0 -2 -4 6 12 0 0 2
4 -1 -2 -2 -4
-4 -2 -2 -1 4 2 -4 -2 0 0 0 0 12 6 4
2 4 2 0 0
-2 -4 -1 -2 2 4 -2 -4 0 0 0 0 6 12 2
4 2 4 0 0
-2 -1 6 3 2 1 -4 -2 0 0 4 2 4 2 12
6 6 3 -4 -2
-1 -2 3 6 1 2 -2 -4 0 0 2 4 2 4 6
12 3 6 -2 -4
-6 -3 4 2 -4 -2 -4 -2 0 0 -2 -1 4 2 6
3 12 6 -2 -1
-3 -6 2 4 -2 -4 -2 -4 0 0 -1 -2 2 4 3
6 6 12 -1 -2
-4 -2 -4 -2 4 2 2 1 0 0 -4 -2 0 0 -4
-2 -2 -1 12 6
-2 -4 -2 -4 2 4 1 2 0 0 -2 -4 0 0 -2
-4 -1 -2 6 12
-
DIVISORS
1 1 1 1 1 1 1 1 1 1 33 33 33 33 33 33 33 33 33 33
-
MINIMAL_NORM
12
-
KISSING_NUMBER
330
-
GROUP_ORDER
15840
-
GROUP_NAME
C2 x S3 x PGL(211)
-
GROUP_GENERATORS
3
20
-1 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0
0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0
0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0
0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0
0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0
0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0
0 0 0 0 0
0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0
0 0 0 0 0
0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0
0 0 0 0 0
0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0
0 0 0 0 0
0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0
0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0
0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0
0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0
0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0
0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1
0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
-1 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 -1 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 -1 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 -1 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 -1
20
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 -1 1
0 0 0 0 0 -1 0 -1 0 -1 0 -1 0 0 0
1 0 -1 0 0
0 0 0 0 1 -1 1 -1 1 -1 1 -1 0 0 -1
1 1 -1 0 0
0 -1 0 0 0 0 0 0 0 1 0 1 0 0 0
0 0 0 0 0
1 -1 0 0 0 0 0 0 -1 1 -1 1 0 0 0
0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0
0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0
0 0 0 0 0
0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0
0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 0
0 0 0 0 0 -1 0 -1 0 -1 0 0 0 0 0
1 0 -1 0 1
0 0 0 0 1 -1 1 -1 1 -1 0 0 0 0 -1
1 1 -1 -1 1
0 -1 0 0 0 1 0 0 0 1 0 1 0 0 0
-1 0 0 0 -1
1 -1 0 0 -1 1 0 0 -1 1 -1 1 0 0 1
-1 0 0 1 -1
0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0
0 0 0 0 0
0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0
0 0 0 0 0
0 0 0 0 0 1 0 0 0 0 0 0 0 0 0
-1 0 1 0 -1
0 0 0 0 -1 1 0 0 0 0 0 0 0 0 1
-1 -1 1 1 -1
0 -1 0 -1 0 1 0 1 0 1 0 1 0 -1 0
0 0 1 0 -1
1 -1 1 -1 -1 1 -1 1 -1 1 -1 1 1 -1 0
0 -1 1 1 -1
20
-2 2 -1 1 1 -1 0 0 1 -1 1 -1 -1 1 0
0 0 0 -1 1
0 2 0 1 0 -1 0 0 0 -1 0 -1 0 1 0
0 0 0 0 1
1 -1 0 0 -2 2 -1 1 -1 1 -1 1 1 -1 1
-1 -1 1 1 -1
0 -1 0 0 0 2 0 1 0 1 0 1 0 -1 0
-1 0 1 0 -1
0 0 1 -1 1 -1 0 0 1 -1 0 0 0 0 -1
1 0 0 0 0
0 0 0 -1 0 -1 0 0 0 -1 0 0 0 0 0
1 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 -1 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 0 0 1
-1 1 -1 1 2 -2 1 -1 1 -1 1 -1 -1 1 -1
1 2 -2 -1 1
0 1 0 1 0 -2 0 -1 0 -1 0 -1 0 1 0
1 0 -2 0 1
-1 1 0 0 -1 1 -1 1 0 0 0 0 0 0 0
0 -1 1 0 0
0 1 0 0 0 1 0 1 0 0 0 0 0 0 0
0 0 1 0 0
0 0 1 -1 1 -1 1 -1 1 -1 0 0 0 0 -1
1 1 -1 0 0
0 0 0 -1 0 -1 0 -1 0 -1 0 0 0 0 0
1 0 -1 0 0
0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0
0 0 0 0 0
0 0 0 0 0 0 0 0 0 0 0 1 0 0 0
0 0 0 0 0
1 -1 0 0 -1 1 0 0 -1 1 -1 1 0 0 1
-1 0 0 1 -1
0 -1 0 0 0 1 0 0 0 1 0 1 0 0 0
-1 0 0 0 -1
1 -1 1 -1 1 -1 0 0 0 0 0 0 0 0 -1
1 1 -1 0 0
0 -1 0 -1 0 -1 0 0 0 0 0 0 0 0 0
1 0 -1 0 0
-
LAST_LINE
Haftungsausschluss/Disclaimer
Gabriele Nebe